Descriptive Statistics - GMAT Quantitative
Card 0 of 856
Rita keeps track of the number of times she goes to the gym each week for 1260 weeks. She goes 1 day a week for 119 weeks, 2 days a week for 254 weeks, 3 days a week for 376 weeks, and 4 days a week for 511 weeks. What is the mode of the number of days she goes to the gym each week?
Rita keeps track of the number of times she goes to the gym each week for 1260 weeks. She goes 1 day a week for 119 weeks, 2 days a week for 254 weeks, 3 days a week for 376 weeks, and 4 days a week for 511 weeks. What is the mode of the number of days she goes to the gym each week?
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The mode is the number that comes up most frequently in a set. Rita goes to the gym 4 times a week for 511 weeks. She clearly goes 4 times per week far more often than she goes 1, 2, or 3 times per week. Therefore the mode is 4 days/week. It is NOT 511 weeks. That is the frequency with which 4 days/week occurs, but not the mode.
The mode is the number that comes up most frequently in a set. Rita goes to the gym 4 times a week for 511 weeks. She clearly goes 4 times per week far more often than she goes 1, 2, or 3 times per week. Therefore the mode is 4 days/week. It is NOT 511 weeks. That is the frequency with which 4 days/week occurs, but not the mode.
What is the mode for the following set:
What is the mode for the following set:
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The mode is the number that appears most frequently: 
The mode is the number that appears most frequently:
Determine the mode of the following set of data:
Determine the mode of the following set of data:
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The mode of a set of data is the entry that appears most often within the set. One easy way to determine the mode is by arranging the set in increasing order:
Now that the set is arranged in increasing order, we can see how often each value appears in the set. The value 7 appears three times, which is more than any other entry is repeated, so this is the mode of the set.
The mode of a set of data is the entry that appears most often within the set. One easy way to determine the mode is by arranging the set in increasing order:
Now that the set is arranged in increasing order, we can see how often each value appears in the set. The value 7 appears three times, which is more than any other entry is repeated, so this is the mode of the set.
Determine the mode of the following set of data:
Determine the mode of the following set of data:
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The mode of a set of data is the entry that occurs most often within the set. An easy way to determine which entry occurs the most often is by arranging the set in increasing order:
Now we can see that 29 is repeated more often than any other number in the set, so this is the mode.
The mode of a set of data is the entry that occurs most often within the set. An easy way to determine which entry occurs the most often is by arranging the set in increasing order:
Now we can see that 29 is repeated more often than any other number in the set, so this is the mode.
Determine the mode of the following set of data:
Determine the mode of the following set of data:
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The mode of a set of data is the entry that appears most frequently within the set. An easy way to determine the mode is by arranging the set in increasing order:
Now we can see that the value of 
is repeated more times than any other value, so this is the mode of the set of data.
The mode of a set of data is the entry that appears most frequently within the set. An easy way to determine the mode is by arranging the set in increasing order:
Now we can see that the value of
Determine the mode for the following set of numbers.
Determine the mode for the following set of numbers.
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The mode is the most frequent number, thus our answer is 
.
The mode is the most frequent number, thus our answer is
Find the mode of the following set of numbers:
Find the mode of the following set of numbers:
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The mode is the most frequent number, thus the answer is 
.
The mode is the most frequent number, thus the answer is
Find the mode of the following set of numbers.
Find the mode of the following set of numbers.
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The mode is the most frequent number. Thus, our answer is 
.
The mode is the most frequent number. Thus, our answer is
Consider the data set 
. It is known that 
. How many modes does this data set have, and what are they?
Consider the data set
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Of the known elements, 6 occurs the most frequently - three times. Since the unknown 
occurs only twice, and it cannot be equal to any of the other elements, its value does not affect the status of 6 as the most frequent element. Therefore, regardless of 
, 6 is the only mode.
Of the known elements, 6 occurs the most frequently - three times. Since the unknown
True or false: 
is the arithmetic mean of the set 
.
Statement 1: 
Statement 2: 
is the arithmetic mean of 
and 
.
True or false:
Statement 1:
Statement 2:
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Assume both statements to be true, and examine two cases.
Case 1: 
The arithmetic mean of 
and 
is
The conditions of both statements are satisfied.
The mean of the five numbers is their sum divided by 5:
Case 2: 
The arithmetic mean of 
and 
is
The conditions of both statements are satisfied.
But the mean of the five numbers is
Therefore, the mean may or may not be equal to 
.
Assume both statements to be true, and examine two cases.
Case 1:
The arithmetic mean of
The conditions of both statements are satisfied.
The mean of the five numbers is their sum divided by 5:
Case 2:
The arithmetic mean of
The conditions of both statements are satisfied.
But the mean of the five numbers is
Therefore, the mean may or may not be equal to
For which of the following values of 
would the median and the mode of the data set be equal?
For which of the following values of
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If the known values are ordered from least to greatest, the set looks like this:
Below are each of the choices, followed by the set that results if it is added to the above set, followed by the median - the middle element - and the mode - the most frequently occurring element.
Only the addition of 11 yields a set with median and mode equal to each other.
If the known values are ordered from least to greatest, the set looks like this:
Below are each of the choices, followed by the set that results if it is added to the above set, followed by the median - the middle element - and the mode - the most frequently occurring element.
Only the addition of 11 yields a set with median and mode equal to each other.
Give the mode of the set 
.
Give the mode of the set
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The mode of a set, if it exists, is the value that occurs most frequently. The inequality
means that the set
can be rewritten as
.
The most frequently occurring value is 
, making this the mode.
The mode of a set, if it exists, is the value that occurs most frequently. The inequality
means that the set
can be rewritten as
The most frequently occurring value is
.
Give the mode of the set 
.
Give the mode of the set
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The mode of a set, if it exists, is the value that occurs most frequently. The inequality
means that the set
can be rewritten as
and 
occur as values twice each; the other values, 
and 
, are unique. Therefore, the set has two modes, 
and 
.
The mode of a set, if it exists, is the value that occurs most frequently. The inequality
means that the set
can be rewritten as
Which of these values is not a mode of the set 
?
Which of these values is not a mode of the set
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The mode of a set is the value that occurs most frequently in that set. Since
, it follows that
can be rewritten as
.
This makes 
and 
both modes, since both occur twice. Equivalently, since 
and 
, 
and 
are modes.
The mode of a set is the value that occurs most frequently in that set. Since
can be rewritten as
This makes
What is the median of the data set?
What is the median of the data set?
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Write the numbers in order from smallest to largest. The median is the middle number, which is 11.
Write the numbers in order from smallest to largest. The median is the middle number, which is 11.
What do you need to know in order to determine the median of a data set with one hundred elements?
What do you need to know in order to determine the median of a data set with one hundred elements?
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The median of a dataset with an even number of elements is the arithmetic mean of the two elements that fall in the middle when the elements are arranged in ascending order. Since there are 100 elements and 
, this means the fiftieth-highest and fiftieth-lowest elements.
The median of a dataset with an even number of elements is the arithmetic mean of the two elements that fall in the middle when the elements are arranged in ascending order. Since there are 100 elements and
What is the median of the following numbers?
What is the median of the following numbers?
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The median of a data set with an even number of elements is the mean of its two middle elements, when ranked. The set is already ranked, so just find the mean of middle elements 
and 
:
The median of a data set with an even number of elements is the mean of its two middle elements, when ranked. The set is already ranked, so just find the mean of middle elements
Janice's course score in her statistics class depends on her six hourly tests. The mean of her best five scores and the median of her best five scores are both calculated, and she is assigned the better of the two.
Janice's first five tests were 90, 92, 80, 75, and 86. What score, at minimum, does she need to be assured a course score of 85 or better for the term?
Janice's course score in her statistics class depends on her six hourly tests. The mean of her best five scores and the median of her best five scores are both calculated, and she is assigned the better of the two.
Janice's first five tests were 90, 92, 80, 75, and 86. What score, at minimum, does she need to be assured a course score of 85 or better for the term?
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The median of her current five scores is the third-highest, or 86. Even if she does not take the sixth examination, this median will stand, and even if her mean is less, she has already achieved a score of 86 or better.
The median of her current five scores is the third-highest, or 86. Even if she does not take the sixth examination, this median will stand, and even if her mean is less, she has already achieved a score of 86 or better.
A data set with nine elements has median 50. A new data set is formed with these nine elements, plus two new elements, 40 and 73.
What is the median of this new data set?
A data set with nine elements has median 50. A new data set is formed with these nine elements, plus two new elements, 40 and 73.
What is the median of this new data set?
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The median of the original data set, which has nine elements, is the fifth-highest element; here it is 50. The median of a data set with eleven elements is its sixth-highest element; since one of the elements added is greater than 50 and one is less than 50, 50 becomes the sixth-highest element in the new set, and it remains the median.
The median of the original data set, which has nine elements, is the fifth-highest element; here it is 50. The median of a data set with eleven elements is its sixth-highest element; since one of the elements added is greater than 50 and one is less than 50, 50 becomes the sixth-highest element in the new set, and it remains the median.
What is the median of the following set:
What is the median of the following set:
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Put the numbers in order from least to greatest:
The middle number is the median.
Put the numbers in order from least to greatest:
The middle number is the median.